Solution
- The coordinate of vertex N is (1, 3)
- The transformation moves the coordinate of N to a new position N' at (3, -1)
- Comparing these two coordinates, we find that
\(N(1,3)\to(1+2,3-4)=(3,-1)\)- This implies that if we move 2 units right and 4 units downwards from the position of N, we get N'
Final Answer
The answer is "Translation of 2 units to the right and 4 units downwards" (OPTION 4)
PLZZZZZZ I NEED HELP
A photograph has a length that is inches longer than its width, x. So its area is given by the expression square inches. If the area of the photograph is square inches, what is the width of the photograph?
The width of the photograph is blank inches.
Answer:
width is also "inches"
Step-by-step explanation:
Write the equation in slope intercept form. 10x + 6y = 0
Step-by-step explanation:
\(10x + 6y = 0 \\ \\ 6y = - 10x + 0\\ \\ y = \frac{ - 10}{6} x + \frac{0}{6} \\ \\ y = - \frac{5}{3} x + 0 \\ \\ y = - \frac{5}{3} x \\ this \: is \: in \: the \: slope \: intercept \: \\ form.\)
3/7 in decimal form rounded to the nearest thousandth
Answer:
3/7=0.4285
Step-by-step explanation:
0.4285
= 0.429
A dresser has 5 shelves. One shelf has x shirts and four shelves have y shirts. What is the total number of shirts in the dresser? A) 4y + × B) 3 - y C) x + 2y D) (x+x) - y
The total number of shirts in the dresser is 4y + ×. The correct option is A
To calculate the total number of shirts in the dresserWe need to add up the number of shirts on each shelf.
The first shelf's shirt count is indicated with the number x.
y indicates how many shirts are present on each of the four remaining shelves.
We may add up the shirts on each rack to determine the overall number of shirts:
Total = x + y + y + y + y
Simplifying the expression, we have:
Total = x + 4y
Therefore, The total number of shirts in the dresser is 4y + ×.
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Mr. Jackson measures the heights of all the students in Math Club. The mean height is 65 inches, the standard deviation is 2 inches, and the heights follow a normal distribution.
Part B: Mr. Jackson randomly selects a student in Math Club. Use the normal curve from Part A and the empirical rule to find each probability.
The student is no more than 65 inches tall P(x ≤ 65) =
The student is between 63 and 67 inches tall. P(63 ≤ x ≤ 67) =
The student is between 61 and 69 inches tall. P1615 x ≤ 69) =
The student is between 59 and 71 inches tall. P(59≤ x≤71) =
A. The student is no more than 65 inches tall P(x ≤ 65) = 0.5. B. The student is between 63 and 67 inches tall. P(63 ≤ x ≤ 67) = 34%. C. The student is between 61 and 69 inches tall. P1615 x ≤ 69) = 47.5%. D. The student is between 59 and 71 inches tall. P(59≤ x≤71) = 49.85%
How did we get these values?Using the mean and standard deviation provided in Part A, we can standardize each of the given ranges to use the empirical rule, which states that for a normal distribution, approximately:
68% of the data falls within one standard deviation of the mean
95% of the data falls within two standard deviations of the mean
99.7% of the data falls within three standard deviations of the mean
To standardize a value x, we can use the formula: z = (x - μ) / σ, where μ is the mean and σ is the standard deviation.
a) To find P(x ≤ 65), we can standardize 65 using the formula above:
z = (65 - 65) / 2 = 0
Since z = 0, we can look up the corresponding probability in the standard normal distribution table, which is 0.5. Therefore, P(x ≤ 65) = 0.5.
b) To find P(63 ≤ x ≤ 67), we can standardize both values:
z1 = (63 - 65) / 2 = -1
z2 = (67 - 65) / 2 = 1
Using the empirical rule, we know that approximately 68% of the data falls within one standard deviation of the mean. Since our range is within one standard deviation of the mean, we can estimate that P(63 ≤ x ≤ 67) is approximately 68% / 2 = 34%.
c) To find P(61 ≤ x ≤ 69), we can standardize both values:
z1 = (61 - 65) / 2 = -2
z2 = (69 - 65) / 2 = 2
Using the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Since our range is within two standard deviations of the mean, we can estimate that P(61 ≤ x ≤ 69) is approximately 95% / 2 = 47.5%.
d) To find P(59 ≤ x ≤ 71), we can standardize both values:
z1 = (59 - 65) / 2 = -3
z2 = (71 - 65) / 2 = 3
Using the empirical rule, we know that approximately 99.7% of the data falls within three standard deviations of the mean. Since our range is within three standard deviations of the mean, we can estimate that P(59 ≤ x ≤ 71) is approximately 99.7% / 2 = 49.85%.
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What is the range of 12,20,18,25,6
Answer:
19
Step-by-step explanation:
The range is the difference between the biggest number and the smallest number
Let's put these numbers in order:
25,20,18,12,6
The biggest number is 25, the smallest number is 6
25-6=?
19
Given H (-9, 5) and A (-1, 8), what is HA ?
Using distance formula.
Answer:
That's the answer and I hope it helps. Thanks and have a great time.
Out of a dozen eggs in a carton, 75% had cracks! How many eggs had cracks?
Answer:
75% of 12 is 9
a function is in the form g(x)= ax2 + d. if a is greater than 1 and d is positive, which could be the graph of g(x) ?
hello
to answer precisely, i have to see the graphs in the question but overall, the answer should look like something like the graph in the attached file
three times the number of books that you have
Step-by-step explanation:
let b represent the number of books
b×b×b
b3
Suppose the mean checkout tab for all customers at a large supermarket equals $65.12 with a standard deviation of $21.45. Twenty-three out of 100 times when a random sample of 45 customer tabs is selected, the sample mean should exceed what value
Answer:
Step-by-step explanation:
Suppose the mean checkout tab for all customers at a large supermarket equals $65.12 with a standard deviation of $21.45. Twenty-three out of 100 times when a random sample of 45 customer tabs is selected, the sample mean should exceed what value
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Tormod bought a perfectly square table but found out it won't fit through his study
door. To solve the problem, he reduces its width by 9cm but also extends its length by
9cm. Its new area is 309cm?
What was the area of his original square table?
Answer:
390 cm^2
Step-by-step explanation:
Let's call the dimensions of the original square x by x. Its area is x^2.
After the table is altered, its dimensions are x + 9 by x - 9, and you're given the area is 309 cm^2.
\((x+9)(x-9)=309\\\\x^2-81=309\\\\x^2=390\)
This last equation is telling us the area of the original, square table.
HELP PLEASE whats the number for this answer?
ASAP
Answer:
68°
Step-by-step explanation:
Total angle in a quadrant = 90°
x + 22° = 90°
x = 90 - 22
x = 68°
I need this please help me
what is -3 > -2x + 7 ?
Which of the following statements is true of the data displayed on this graph? 3 2 (2,5) (1,2) 2 77 (3,4) (3, 1) 3 (6,5) (5,3) 5 6 O The set of points on this graph is a relation and is a function. O The set of points on this graph is a relation but not a function O The set of points on this graph is a function but not a relation O The set of points on this graph is not a function and not a relation.
The set of points on this graph is a relation but not a function
We know that every function can be a relation but every relation cannot be a function.
A relation means the connection between the input and the output.
A function means that for every input there should only be one output.
Here, we have the data as:
(2,5), (1,2), (3,4), (3, 1), (6,5) and (5,3)
We can say that it is a relation as for every input, there is an output.
But, it is not a function.
This is because the input 3 has 2 outputs as 1 and 4 which is not possible in a function.
Therefore, the set of points on this graph is a relation but not a function.
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50 POINTS AND BRAINILEST!!!!!!!!!!!!!!!!
Stanley runs, swims, and bikes every day. During these workouts, he runs at 9 mph, bikes at 16 mph, swims at 2.5 mph. Yesterday, he ran for half an hour longer than he swan, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles. What distance did Stanley cover while swimming?
Answer: 3x-x+2=4
Step-by-step explanation:
You can put this solution on YOUR website!
running distance is 9(t3+0.5)
biking distance is 16 (2(t3+0.5))=16(2t3+1)
swimming distance is 2.5t3
9t3+4.5+32t3+16+2.5t3=64
43.5t3=43.5
t3=1 hour
He biked for 3 hours (48 miles)
He ran for 1.5 hours (13.5 miles)
He swam for 1 hour (2.5 miles)
He covered 62 miles in 5.5 hours of activity.
Answer:
He swam for 1 hour (2.5 miles)
Step-by-step explanation:
The relation between time, speed, and distance is,
distance = speed × time
Solve the equation for the indicated variable.
А= 1/2bh for b
The length of a rectangle is 1 units more than the width. The area of the rectangle is 72 units. What is the length, in units, of the rectangle?
The volume of a cone is 3x3 cubic units and its height is x units.
Which expression represents the radius of the cone's base, in units?
Answer:
r=3x/√π
Step-by-step explanation:
V=πr²h /3
V=3x³, h=x, r=?
-------------
3x³=πr²x/3
πr²=9x²
r²=9x²/π
r=3x/√π
f(x)= (〖2x〗^2-3x)/(x+6 ) asymptote
Answer:Hope this can help you
Step-by-step explanation:
margie bought 8 cans of tomato soup and 4 cans of mushroom soup. she spent nine dollars and eighty-eight cents. the tomato soup cost $0.79 per can. what did the mushroom soup cost per can?
What is a cubic polynomial function with zeros -20, -15, and -6?
What is a quartic polynomial function with zeros -20, -16, -11, and -9?
What are the zeros of x^3 + 16x^2 + 60x? What are their multiplicities?
Answer:(x + 1)(x - 1)(x + 5)(x - 3) is the fully factored form of the polynomial.
The zeros are (-1, 0), (1, 0), (-5, 0), and (3, 0).
x^4 + 2x^3 - 16x^2 - 2x + 15
We can use the rational roots theorem to find some of the possible roots, and after finding just one root, we can simplify this polynomial.
List factors of 15:
1, 3, 5, 15.
List factors of 1:
1.
Our possible rational factors are:
+/- 1, +/- 3, +/- 5, +/- 15.
To find factors, we can use the remainder theorem.
Replace all x values with 1.
1^4 + 2(1)^3 - 16(1)^2 - 2(1) + 15 = 0
Because the answer is zero, it means that 1 is a root.
We can divide this polynomial by x - 1 to find a simplified form.
After dividing, our quotient is: x^3 + 3x^2 - 13x - 15
We can continue finding factors by using the rational roots theorem. Once we have only three terms, we can try to factor using the AC method.
Our next possible root is -1.
(-1)^3 + 3(-1)^2 - 13(-1) - 15 = 0
We know that -1 is also a root, and so we can divide the polynomial by x + 1.
After diving we're left with x^2 + 2x - 15.
Now, we can try to factor using the AC method.
List factors of -15.
1 * -15
-1 * 15
3 * -5
-3 * 5 (these digits satisfy the criteria.)
Split the middle term.
x^2 - 3x + 5x - 15
Factor binomials.
x(x - 3) + 5(x - 3)
Rearrange binomials.
(x + 5)(x - 3)
Add in the two factors we already factored out.
(x - 1)(x + 1)(x + 5)(x - 3)
Step-by-step explanation:
Lucy bought 5 pounds of flour for $3.
How many dollars did she pay per pound of flour?
Answer:
15
Step-by-step explanation:
5*3=15
h is a quadratic function where h(4) = 0, h( - 4) = 0, and h(0) = 7.52. Find an algebraic equation forh(v)
The first thing we have to know is that a quadratic equation is given by the following equation:
\(h(v)=Av^2+Bv+C\)Where A, B and C with constants.
The exercise gives us 3 points and with those 3 points we are going to calculate the values for A, B and C and thus be able to find the equation h (v)
\(\begin{gathered} h(0)=7.52 \\ 7.52=A(0^2)+B(0)+C \\ C=7.52 \end{gathered}\)Now the value of C can be replaced in the equation
\(\begin{gathered} h(4)=0 \\ 0=A(4)^2+B(4)+7.52 \\ 16A+4B+7.52=0 \\ 16A=-4B-7.52 \end{gathered}\)\(\begin{gathered} h(-4)=0 \\ 0=A(-4)^2+B(-4)+7.52 \\ 16A-4B+7.52=0 \\ 16A=4B-7.52 \end{gathered}\)In the 2 equations that we have left, it has the common factor 16A so we are going to equal it to calculate B
\(\begin{gathered} -4B-7.52=4B-7.52 \\ 8B=-7.52+7.52 \\ 8B=0 \\ B=0 \end{gathered}\)Replacing B to find A:
\(\begin{gathered} 16A=4(0)-7.52 \\ A=\frac{-7.52}{16} \\ A=-0.47 \end{gathered}\)The values of A, B and C are replaced in the equation of the general quadratic function
\(h(v)=-0.47v^2+7.52\)salesperson earns $345 for selling $2300 in merchendice find the commison rate
Answer:
The commission rate is 15%
Step-by-step explanation:
commission = commission rate x sales
where the commission rate is expressed as a decimal.
In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:
345 = commission rate x 2300
To solve for the commission rate, we can divide both sides by 2300:
commission rate = 345/2300
Simplifying this expression, we get:
commission rate = 0.15
So, the commission rate is 15%
7th grade math help me plzzz
Answer:
1. 3>-3
2. 12<24
3. -12>-24
4. 5=-(-5)
5. 7.2>7
6. -7.2<-7
7. -1.5=-3/2
8. -4/5>-5/4
9. -3/5=-6/10
10. -2/3<1/3
Step-by-step explanation:
What is the maximum of f(x)=sin(x)
Answer:
1
Step-by-step explanation:
The maximum of f(x) = sin(x) is 1. The sine function has a range of -1 ≤ sin(x) ≤ 1. The sine function oscillates between -1 and 1, reaching a maximum of 1 when x = π/2 and a minimum of -1 when x = -π/2. If you look at a graph of
y = sin(x) you can see this.
Answer: The Maximum Value of f(x)=sin(x) is 1 , when x=90°.
Step-by-step explanation:
Property of Sine function:
Sin(x)=0 when x=90°,180°,360°The maximum and Minimum value of Sin(x) is 1 and -1 respectively, when and x=270° respectively.The range of values of sin(x) is -1 to 1.Read more on the Sine function:
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What is the area of the unshaded portion of this figure?
Answer:
its D 162
Step-by-step explanation:
First, subtract 12 by 18 to find the length that gives you 6 then do 6x9 to find the area of the square then divide by 1/3 to find the triangle